Show that if 0 y Rn and z Rn, then z = z1 +

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Show that if 0 ≠ y ∈ Rn and z ∈ Rn, then z = z1 + z2, where z1 = (ytz/ ||y||22)y is parallel to y and z2 is orthogonal to y.
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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